formula of pythagorean identity ​

Answer:

answer is in photo

Step-by-step explanation:

Do you mean [tex]f(x)=-3^{\sqrt x}[/tex], as in the negative of 3 to the power of √x ? Or [tex]f(x)=-\sqrt[3]{x}[/tex], as in the negative cube root of x ?

If you mean [tex]f(x)=-3^{\sqrt x}[/tex], then, going through each option:

• no: the square root component is defined only for x ≥ 0, for which we have √x ≥ 0 and hence f(x) < 0 for all x in the domain. √x is an increasing function, so the powers of 3 get successively larger, so f(x) would be always decreasing;

• no: as mentioned above, the domain would be all non-negative numbers;

• no: at minimum, x = 0 which gives f (0) = -3⁰ = -1, and because f(x) is decreasing over its entire domain, the range would be {y | y ≤ -1};

• no: again, a bit of ambiguity, but assuming you mean to say here [tex]y=3^{\sqrt x}[/tex], yes, f(x) would be a reflection of y across the x-axis;

• and finally, no: [tex]f(3)=-3^{\sqrt3}\approx-6.705[/tex]

so that only the fourth option would be true.

On the other hand, if you mean [tex]f(x)=-\sqrt[3]{x}[/tex], then:

• no: the function is always decreasing;

• yes: the domain is all real numbers;

• yes: the range is {y | -∞ < y < ∞};

• yes: f(x) is a reflection of y=∛x, also about the x-axis; and

• no: f (3) = -∛3 ≈ -1.442

I suspect you mean the second case, since it's a bit simpler to approach.

Answer:

b,c,d

Step-by-step explanation:

Just took the test

Answer:

hi its 3.501

Step-by-step explanation:

Answer:

14m²

Step-by-step explanation:

The shaded triangles are congruent using SAS congruency

So

The area of shaded is

(½×2×7)×2 m²

(7)×2 m²

14m²

Answer: $3,000.

Step-by-step explanation: The 10% of $15,000 is %1,500, so the value of the car drops by $1,500 each year. So, in eight years (8 years x $1,500), the value will drop by $12,000. Therefore, the price of the car in eight years will be the original amount minus the depreciating amount ($15,000 - $12,000), this will be $3,000.

Hope this will help you

Answer:

Step-by-step explanation:

Use property of exterior angles:

Here we have:

So the equation is:

If you think it is not 34°, then your question must be asking to find something else (e.g. angle D, which is 68°)

Answer:

1a. y = $10 + $5x (With $10 as the flat fee, Company A charges $5 an hour, so the equation should be $10, base, plus $5x, the amount charged after you paid the flat fee.)

1b. y = $7x (Every hour $7 translates to $7x as the total. Nothing more, nothing less.)

1c. Substitution (This will allow us to substitute in one of the equations with y, since the question asks for the same amount charged, with the other equation.)

1d. $10 + $5x = $7x

    $7x - $5x = $10

    $2x = $10

    x = [tex]\frac{\$10}{\$2}[/tex]

    x = 5

Therefore, after 5 hours, both companies charge $35 dollars.

1e. To check whether this is correct, let's sub in the amount of hours for both equations.

For Company A:

y = $10 + $5x

y = $10 + $5(5)

y = $35

For Company B:

y = $7x

y = $7(5)

y = $35

Since both are equal to $35, we can definitively say the answer is 5 hours.

Step-by-step explanation:

Hope this helped!

Answer:

p < 16

Step-by-step explanation:

-3p > -48

Divide both sides by -3. Remember to change the direction of the inequality sign when you multiply or divide by a negative number.

-3p/(-3) < -48/(-3)

p < 16

Answer: p < 16

Answer:

Step-by-step explanation:

It adds by negative 5 because if you add up all of the math and equations, it will all fit together.

Here's an example.

The first one is 3 and -2, so lets add -2 by 5.

-2 + 5 = 3 --- 1st row

We can figure this out by subtracting 2 by 5, which equals 3.

( This does not apply to all equations. )

Let's add all of them by 5 now.

-7 + 5 = -2 --- 2nd row

-12 + 5 = -7 --- 3rd row

On the last row, we add -12 by -5 and you get -17.

-17 + 5 = -12 --- 4th row

That's how you figure it out.

Hope this helps! <3

Answer: x=-30

Step-by-step explanation: -1/5x(-5)=6(-5) x=-30

I cant see the image very well. Could you explain your question?

Answer:

The width of rectangle w = 4 units

Step-by-step explanation:

We are given:

Width of rectangle = w

Length of rectangle = w+ 4

Area of rectangle = 32 units

We need to find width of the rectangle

The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]

Putting values and finding width of rectangle

[tex]Area\:of\:rectangle=Length\times Width\\32=(w+4)\times w\\32=w^2+4w\\w^2+4w-32=0[/tex]

We need to solve this quadratic equation to find width (w)

We will use factorisation and break the middle term.

[tex]w^2+4w-32=0\\w^2+8w-4w-32=0\\w(w+8)-4(w+8)=0\\(w-4)(w+8)=0\\w-4=0\:or\:w+8=0\\w=4\:or\:w=-8[/tex]

Since width of rectangle can't be negative, so rejecting w=-8

Therefore, the width of rectangle w = 4 units

Answer:

2 looks good  I & IV

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

they have -5x,   it doesn't really matter on their order

Answer:

the answer is 3

Step-by-step explanation:

6x -3x = 13-4

3x = 9

x =3

Answer:

Subtract 4 from both sides of the equation

6+4=3+13

6+4−4=3+13−4

Simplify

Subtract the numbers

6=3+9

Subtract 3 from both sides of the equation

6x=3+9

6−3=3+9−3

Simplify

Combine like terms

3=9

Divide both sides of the equation by the same term

3=9

3/3=9/3

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=3

Solution

=3

Answer:

area is 13.7^2

Step-by-step explanation:

7×12=84

84÷2=42

sin(19°)=0.3256

42×0.3256=13.7

Answer:

the area is 13.7^2

Step-by-step explanation:

can you please add me on brainlist

Answer:

7.21 (7.211103 exact)

Step-by-step explanation:

In this question, we have to find the distance of the two points.

To do so, we would use this equation: d = √(x2-x1)² + (y2-y1)²

Plug in your coordinates and solve:

d = √(4+2)² + (7-3)²

d = √(6)² + (4)²

d = √36 + 16

d = √52

Now, get the square root of 52:

d = 7.211103

The distance of each coordinate would be around 7.21

Answer:

104.7 in^3

Step-by-step explanation:

Step one:

given data

The ball has a radius of 5 inches and

the cylinder has a height of 8 inches

Step two:

The volume of the cylinder

[tex]v= \pi r^2 h[/tex]

substitute our data

[tex]v= 3.142*5^2*8\\\\v=628.4in^3[/tex]

The volume of the ball

[tex]v=4/3 \pi r^3[/tex]

substitute our data

[tex]v= 4/3 *3.142*5^3\\\\v= 523.7 in^3[/tex]

The space will have a volume of

=628.4-523.7

=104.7 in^3

Answer:

B. 13.2 m

Step-by-step explanation:

Using the Pythagorean theorem, which is a^2 + b^2 = c^2, you can substitute in 9 for a and 16 for c. This puts it at 9^2 + b^2 = 16^2, which equals 81 + b^2 = 256. Subtract 81 from both sides to get b^2 = 175. Take the square root of both sides to get b = sqrt 175. The sqrt of 175 rounded to the nearest tenth is 13.2

Answer:

[tex] 18 \%\: of \: x = 63 \\ \frac{18}{100} x = 63 \\ x = \frac{63 \times 100}{18} \\ x = 350[/tex]

Answer:

350

Step-by-step explanation:

To figure out the number, divide 63 by 18%

63/0.18 = 350

You can check by doing the opposite operation with your answer:

350 · 0.18 = 63

Answer: 390 miles

Step-by-step explanation:

Reggie ran for half an hour in the morning and half an hour in the evening.

That is a total of 1 hour for the day.

He runs 6.5 miles in one hour.

In 60 days he would have ran;

= 60 * 6.5

= 390 miles

Answer:

it is correct step

Step-by-step explanation:

it has no wrong in it b/c it subtract 1x from both side

Answer:

The answer is C

I did the quiz on edge

Answer:

2

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Is there more info to this problem? I'm assuming both triangles are congruent. If so then you can assume that BC = CD

If that's the case then set them equal to each other to solve for x then plug x back into the side for CD to get the value

6x-5 = 4x+1

2x = 6

x = 3

Plug into CD   4(3) +1

= 13

THIS IS ASSUMING  TRIANGLE     ABC = ADC

Answer:

I believe they are equal but I'm not for sure

Answer:

-5y=1+9

-5y=10

Y=-2

Your answer is C